# Radial and non radial solutions for Hardyï¿½Hï¿½non type elliptic systems

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Compactly supported radial basis functions can be used to define multiscale approximation spaces. A multiscale scheme is studied for the approximation of Sobolev functions on bounded domains with restricted data sites. Our method employs compactly supported radial basis functions with centres at...

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Given two measurable functions $$V(r )\ge 0$$ and $$K(r)> 0$$ , $$r>0$$ , we define the weighted spaces and study the compact embeddings of the radial subspace of $$H_{V}^{1}$$ into $$ L_{K}^{q_{1}}+L_{K}^{q_{2}}$$ , and thus into $$L_{K}^{q}$$ ( $$ =L_{K}^{q}+L_{K}^{q}$$ ) as a particular case....